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We study the U(N) non-commutative Yang-Mills theory at the one-loop approximation. We check renormalizability and gauge invariance of the model and calculate the one-loop beta function. The interaction of the SU(N) gauge bosons with the…

高能物理 - 理论 · 物理学 2009-10-31 Adi Armoni

Yang-Mills theory in the first order formalism appears as the deformation of a topological field theory, the pure BF theory. We discuss this formulation at the quantum level, giving the Feynman rules of the BF-YM theory, the structure of…

高能物理 - 理论 · 物理学 2009-10-30 Maurizio Martellini , Mauro Zeni

Previous investigations on the renormalizability properties of Lorentz-violating Yang-Mills (LVYM) theories in the Landau gauge have pointed out the necessity of the inclusion of a mass-like term for the gauge fields. If one aims at…

高能物理 - 理论 · 物理学 2025-01-28 Antonio D. Pereira

We determine the non-perturbative corrections to the gauge coupling constant and the topological charge in the Yang Mills theory. The method makes no explicit use of instanton calculations but instead relies on boundary properties of the…

高能物理 - 唯象学 · 物理学 2019-09-27 Renata Jora , Salah Nasri

The integrals defining the two-loop beta-function for the general renormalizable N=1 supersymmetric Yang--Mills theory, regularized by higher covariant derivatives, are investigated. It is shown that they are given by integrals of double…

高能物理 - 理论 · 物理学 2011-08-09 K. V. Stepanyantz

We calculate the third coefficient of the lattice $\beta$ function in pure Yang-Mills theory. We make use of a computer code for solving perturbation theory analytically on the lattice. We compute the divergent integrals by using a method…

高能物理 - 格点 · 物理学 2009-10-28 B. Alles , A. Feo , H. Panagopoulos

In four-dimensional theories with massless particles, the one-loop amplitudes can be expressed in terms of a basis of scalar integrals and rational terms. Since the scalar bubble integrals are the only UV divergent integrals, the sum of the…

高能物理 - 理论 · 物理学 2015-03-20 Yu-tin Huang , David A. McGady , Cheng Peng

The spectrum of the massive CPT-odd Yang-Mills propagator with Lorentz violation is performed at tree-level. The modification is due to mass terms generated by the exigence of multiplicative renormalizability of Yang-Mills theory with…

高能物理 - 理论 · 物理学 2016-11-02 T. R. S. Santos , R. F. Sobreiro , A. A. Tomaz

Previous calculations of the thermal beta-function in a hot Yang--Mills gas at the one--loop level have exposed problems with the gauge dependence and with the sign, which is opposite to what one would expect for asymptotic freedom. We show…

高能物理 - 唯象学 · 物理学 2016-08-24 Per Elmfors , Randy Kobes

We explicitly compute the one-loop exact beta function for a nonlocal extension of the standard gauge theory, in particular Yang-Mills and QED. The theory, made of a weakly nonlocal kinetic term and a local potential of the gauge field, is…

高能物理 - 理论 · 物理学 2016-08-03 Leonardo Modesto , Marco Piva , Leslaw Rachwal

Using differential renormalization, we calculate the complete two-point function of the background gauge superfield in pure N=1 Supersymmetric Yang-Mills theory to two loops. Ultraviolet and (off-shell) infrared divergences are renormalized…

高能物理 - 理论 · 物理学 2009-11-07 J. Mas , M. Perez-Victoria , C. Seijas

We investigate the perturbative structure of the proper time renormalization group flow in scalar and Yang-Mills theories. Although the PT flow does not belong to the class of exact functional renormalization group equations, we show that…

高能物理 - 理论 · 物理学 2025-10-07 Gabriele Giacometti , Daniele Rizzo , Dario Zappala

The renormalization of quantum field theories usually assumes Lorentz and gauge symmetries, besides the general restrictions imposed by unitarity and causality. However, the set of renormalizable theories can be enlarged by relaxing some of…

高能物理 - 理论 · 物理学 2023-02-14 B. Altschul , L. C. T. Brito , J. C. C. Felipe , S. Karki , A. C. Lehum , A. Yu. Petrov

We discuss the renormalization group in the context of gravitational theories with independent metric and affine connection. Considering a class of theories with both propagating torsion and nonmetricity, we perform an explicit computation…

高能物理 - 理论 · 物理学 2024-06-21 Oleg Melichev

The formulation and some experimental implications of a general Lorentz-violating extension of the standard model are reviewed. The theory incorporates both CPT-preserving and CPT-breaking terms. It is otherwise a conventional quantum field…

高能物理 - 唯象学 · 物理学 2007-05-23 Alan Kostelecky

We take the manifestly gauge invariant exact renormalisation group previously used to compute the one-loop beta function in SU(N) Yang-Mills without gauge fixing, and generalise it so that it can be renormalised straightforwardly at any…

高能物理 - 理论 · 物理学 2008-11-26 Stefano Arnone , Tim R. Morris , Oliver J. Rosten

The renormalization group equations of the Yang-Mills theory are examined in the non-critical string theory according to the framework of the holography. Under a simple ansatz for the tachyon, we could find several interesting solutions…

高能物理 - 唯象学 · 物理学 2009-10-31 Kazuo Ghoroku

Perturbative renormalization of a non-Abelian Chern-Simons gauge theory is examined. It is demonstrated by explicit calculation that, in the pure Chern-Simons theory, the beta-function for the coefficient of the Chern-Simons term vanishes…

高能物理 - 理论 · 物理学 2009-10-22 Wei Chen , Gordon W. Semenoff , Yong-Shi Wu

A geometric formulation of Wilson's exact renormalisation group is presented based on a gauge invariant ultraviolet regularisation scheme without the introduction of a background field. This allows for a manifestly background independent…

高能物理 - 理论 · 物理学 2021-02-24 Kevin Falls

We determine the three-loop coefficient of the beta function in the asymmetric momentum subtraction scheme in Landau gauge. This scheme is convenient for lattice studies of \alpha_s, the running coupling constant of QCD. We present high…

高能物理 - 唯象学 · 物理学 2010-03-19 Ph. Boucaud , J. P. Leroy , J. Micheli , O. Pene , C. Roiesnel